Chemistry Reference
In-Depth Information
B
f
;
n
A
−
1
H
(1)
1,
n
E
+
|
n
A
−
1,
n
E
;
B
v
1,
n
E
|
H
(1)
×
B
v
;
n
A
−
|
n
A
,
n
E
;
B
i
+
E
|
B
i
−
E
|
B
v
+
hυ
0
B
v
1
H
(1)
B
f
;
n
A
−
1,
n
E
+
|
n
A
,
n
E
+
1;
B
v
H
(1)
×
B
v
;
n
A
,
n
E
+
1
|
|
n
A
,
n
E
;
B
i
2
+
E
|
B
i
−
E
|
B
v
−
hυ
B
v
δ
E
|
B
i
+
hυ
υ
2
dυdΩ
×
hυ
0
−
E
−
(13.3)
B
f
|
At this point, the conceptual challenge appears to explore the existence of the Ra-
man process itself from the bondonic description of the chemical bond that turns
the incoming IR photon into the (induced, stimulated, or spontaneous) structural
frequencies
E
|
B
i
−
E
|
B
v
υ
v
←
i
=
(13.4)
h
As such, the problem may be reshaped in expressing the virtual state energy
E
|
B
v
in
terms of bonding energy associated with the initial state
E
|
B
i
=
E
bond
(13.5)
that can be eventually measured or computationally predicted by other means. How-
ever, this further implies the necessity of expressing the incident IR photon with the
aid of bondonic quantification; to this end the Einstein photo-electric relationship is
appropriately reloaded in the form
h
2
E
bond
X
bond
m
B
v
v
1
4
B
¯
B
1
)
2
hυ
v
←
i
=
2
=
(
2
πn
v
+
(13.6)
where the bondonic mass (Putz
2010a
,
b
,
2012a
,
b
,
2015a
,
b
; Putz and Ori
2015
,
see Chap. 10 of this monograph; Putz et al.
2015a
,
b
, see Chaps. 11 and 12 of this
monograph)
1
)
2
E
bond
X
bond
h
2
2
(
2
πn
+
m
B
=
¯
,
n
=
0, 1, 2
...
(13.7)
was firstly implemented. Next, in terms of representing the turn of the incoming IR
photon into the structural
wave
-frequency related with the bonding energy of initial
state, see Eq. (13.5); the time of wave-bond
t
bond
=
¯
h/E
bond
is here considered to
further transform Eq. (13.6) to the yield
v
B
E
bond
t
bond
E
bond
X
bond
v
1
4
1
4
E
bond
B
v
bond
1
)
2
1
)
2
hυ
v
←
i
=
(
2
πn
v
+
=
(
2
πn
v
+
(13.8)
